 # Let f : A → B , where A and B are non empty, and let T 1 and T 2 be subsets of B . Prove that f − 1 ( T 1 ∪ T 2 ) = f − 1 ( T 1 ) ∪ f − 1 ( T 2 ) . Prove that f − 1 ( T 1 ∩ T 2 ) = f − 1 ( T 1 ) ∩ f − 1 ( T 2 ) . Prove that f − 1 ( T 1 ) − f − 1 ( T 2 ) = f − 1 ( T 1 − T 2 ) . Prove that if T 1 ⊆ T 2 , t h e n f − 1 ( T 1 ) ⊆ f − 1 ( T 2 ) . ### Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
Publisher: Cengage Learning,
ISBN: 9781285463230 ### Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
Publisher: Cengage Learning,
ISBN: 9781285463230

#### Solutions

Chapter
Section
Chapter 1.2, Problem 25E
Textbook Problem

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